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3 years ago

PLEASE HELP I WILL REWARD BRANLIEST AND 99 POINTS!!!!

Mathematics

2 answers:

ch4aika [34]3 years ago

6 0

Answer:

Step 3, because the solution should also include all the values for x between the two given values

Step-by-step explanation:

step 1

we have

$y_1=\left|x-4\right|$

$y2=1$

step 2

The graph in the given problem

step 3

Identify the solution when $y1\leq y2$

$\left|x-4\right|\le1$

using a graphing tool

The solution is the interval -----> [3,5]

see the attached figure

All real numbers greater than or equal to 3 and less than or equal to 5

therefore

The first step in which the student made an error is step 3

Molodets [167]3 years ago

6 0

Answer:

Its C

Step-by-step explanation:

I just took the test and got it right. Hope this helps

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Find the rectangular coordinates of the point (squareroot3, pi/6)

svet-max [94.6K]

Answer:

The rectangular coordinates of the point are (3/2 , √3/2)

Step-by-step explanation:

* Lets study how to change from polar form to rectangular coordinates

- To convert from polar form (r , Ф) to rectangular coordinates (x , y)

use these rules

# x = r cos Ф

# y = r sin Ф

* Now lets solve the problem

∵ The point in the rectangular coordinates is (√3 , π/6)

∴ r = √3 and Ф = π/6

- Lets find the x-coordinates

∵ x = r cos Ф

∵ r = √3

∵ Ф = π/6

∴ x = √3 cos π/6

∵ cos π/6 = √3/2

∴ x = √3 (√3/2) = 3/2

* The x-coordinate of the point is 3/2

- Lets find the y-coordinates

∵ y = r sin Ф

∵ r = √3

∵ Ф = π/6

∴ y = √3 sin π/6

∵ sin π/6 = 1/2

∴ y = √3 (1/2) = √3/2

* The y-coordinate of the point is √3/2

∴ The rectangular coordinates of the point are (3/2 , √3/2)

6 0

2 years ago

What value of x makes this equation true? x/3 −6=10

Setler [38]

Answer:

Step-by-step explanation:

x/3 - 6 = 10

+6 +6

x/3=16

16*3=48

5 0

3 years ago

You invest $3,200 in an account that pays an interest rate of 7.25%, compounded continuously. Calculate the balance of your acco

a_sh-v [17]

I=prt
i=(3200)(7.25)(12)
i=278400
p+i=$281600

6 0

2 years ago

c.) The sonar of a navy cruiser detects a submarine that is 4000 feet from the cruiser. The angle between the water line and the

Kamila [148]

Answer:

2236.77 feets

Step-by-step explanation:

From the attached picture, we are to find x, which is the vertical depth of the submarine.

Using trigonometry based on the illustration in the diagram:

Sinθ = opposite / hypotenus

Sinθ = x (depth of submarine) / distance from ship (4000)

Hence,

Sinθ = x / 4000

θ = 34°

Sin34 = x / 4000

0.5591929 * 4000 = x

2236.7716 = x

Hence, depth of submarine = 2236.77 feets

7 0

2 years ago

pls help !! I need help with these few math problems !! Ily :) PLS SIMET WITH A LINK OF A PEICE OF PAPER WITH THE WORK :)

N76 [4]

Answer:

a.) 32 miles per gallon

divide by two to get one gallon

b.) She can go 32 miles on one gallon

use the info from part a

c.) 384 miles

multiply 32 by 12 to get 12 gallons

3 0

2 years ago

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